Question

In ∆ABC , PQ ll BC , AP=12, PB= 8, & AQ= 15 then Find QC. 
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Answer 1

Answer:

QC = 10

Step-by-step explanation:

Given

Triangle ABC where PQ ll BC and

AP = 12

PB = 8

AQ = 15

Theorem- If a line is drawn from one side of a triangle parallel to a third side intersection the other side, then the line divides the two sides in equal ratio.

Calculation

The mathematical interpretation of the above theorem with regard to this problem is

Since PQ || BC , AP/PB = AQ/ QC

⇒ 12/8 = 15*QC

⇒ 12QC = 15*8

⇒ QC = 15*8/12

QC = 10